PPT-9-1 Exploring Quadratic Graphs

Hubarth Algebra Standard Form of a Quadratic Function A quadratic function is a function that can be written in the form where a b and c are real numbers and a 0 This form is called standard form of a. There is actually only one main program the spe ci64257c layout algorithms implemented as plugins Thus the yl ar gely share all of the same commandline options dot draws directed graphs It works well on D AG sa nd other graphs that can be drawn as h N is the process noise or disturbance at time are IID with 0 is independent of with 0 Linear Quadratic Stochastic Control 52 brPage 3br Control policies statefeedback control 0 N called the control policy at time roughly speaking we choo Grades C to A*. Hyperlinks!. Expanding a single bracket. Solving quadratics by factorising. Factorising quadratic expressions. Factoring expressions. Multiplying out 2 brackets. Quadratic simultaneous equations. This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . Quadratics in the Era of CCSS-M. Faylesha. Porter. Regeta Slaughter. Nicole . Yakes. Welcome!. Who Are We?. Place a sticky dot on the histogram indicating the number of years you have been teaching 8. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Recall, we have used the quadratic formula previously. Gives the location of the roots (x-intercepts) of the graph of a parabola. Function must be in standard form; f(x) = ax. 2. + . bx. + c. Example. Find the roots for the function f(x) = 2x. Find the roots:. 1) x. 2. – 64 = 0 . 2) 8x. 2. – 64x = 0. 3) x. 2. – 16x + 64 = 0. 1) Ensure the quadratic equation is set to zero.. 2) Factor the quadratic equation (GCF, perfect square binomial [DOTS], trinomial). Expanding. Brackets. Factorising. Expanding . Double . Brackets. Solving . Linear . Equations. Plotting graphs by. substitution into . equations. Solving . Quadratic. Equations. Solving . Quadratics. The vertical scale is too big or too small, or skips numbers, or doesn’t start at zero.. The graph isn’t labeled properly.. Data is left out.. But some real life misleading graphs go above and beyond the classic types. Some are intended to mislead, others are intended to shock. And in some cases, well-meaning individuals just got it all plain wrong. These are some of my favorite recent-history misleading graphs from real life.. General Equation. Y = ax². What if A was positive?. Test in your calculator. What if A Was negative?. Test in your calculator.. Y = ax². What if A was greater than 1?. Test in your calculator. What if A Was less than 1?. December 5. , 2016. Quadratic functions are polynomial equations that have an __________ in the equation and ____________ is the highest exponent of x. . The standard form of a quadratic equation is :. GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations.   1 By Factorising 2 ACT. Objectives . F-IF.4: For . a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. .